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Finding the Third Proportional to 11.05 and 23.22

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Solution

The third proportional to 11.05 and 23.22 is: 48.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.05 : 23.22 = 23.22 : x
  2. Step 2: Convert to fraction form
    11.05/23.22 = 23.22/x
  3. Step 3: Cross multiply
    11.05x = 23.22 × 23.22
  4. Step 4: Simplify right side
    11.05x = 539.11
  5. Step 5: Solve for x
    x = 539.11/11.05
  6. Step 6: Final answer
    x = 48.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.